On the class of almost subadditive weight functions
Complex Variables
2024-07-26 v2
Abstract
We answer a question from A. V. Abanin and P. T. Tien about so-called almost subadditive weight functions in the sense of Braun-Meise-Taylor. Using recent knowledge of a growth index for functions, crucially appearing in the ultraholomorphic setting, we are able to show the existence of weights such that there does not exist an equivalent almost subadditive function and hence almost subadditive weights are a proper subclass.
Cite
@article{arxiv.2401.10933,
title = {On the class of almost subadditive weight functions},
author = {Gerhard Schindl},
journal= {arXiv preprint arXiv:2401.10933},
year = {2024}
}
Comments
18 pages; minor stylistic changes, this version has been accepted for publication in J. Math. Anal. Appl